What is the Greatest Common Factor of 88820 and 88825?

Greatest common factor (GCF) of 88820 and 88825 is 5.

GCF(88820,88825) = 5

We will now calculate the prime factors of 88820 and 88825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88820 and 88825.

How to find the GCF of 88820 and 88825?

We will first find the prime factorization of 88820 and 88825. After we will calculate the factors of 88820 and 88825 and find the biggest common factor number .

Step-1: Prime Factorization of 88820

Prime factors of 88820 are 2, 5, 4441. Prime factorization of 88820 in exponential form is:

88820 = 2² × 5¹ × 4441¹

Step-2: Prime Factorization of 88825

Prime factors of 88825 are 5, 11, 17, 19. Prime factorization of 88825 in exponential form is:

88825 = 5² × 11¹ × 17¹ × 19¹

Step-3: Factors of 88820

List of positive integer factors of 88820 that divides 88820 without a remainder.

1, 2, 4, 5, 10, 20, 4441, 8882, 17764, 22205, 44410

Step-4: Factors of 88825

List of positive integer factors of 88825 that divides 88820 without a remainder.

1, 5, 11, 17, 19, 25, 55, 85, 95, 187, 209, 275, 323, 425, 475, 935, 1045, 1615, 3553, 4675, 5225, 8075, 17765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88820 and 88825. The biggest common factor number is the GCF number.
So the greatest common factor 88820 and 88825 is 5.

Also check out the Least Common Multiple of 88820 and 88825